Answer:
The probability that the parcel was shipped expressed and arrived the next day = 0.2375 .
Step-by-step explanation:
We are given that a certain delivery service offers both express and standard delivery.
Let Proportion of parcels sent by standard delivery, P(
) = 0.75
Proportion of parcels sent by express delivery, P(
) = 0.25
Let <em>event B = Parcel arriving the next day</em>
Also, Probability of parcel arriving the next day given it was sent through standard delivery, P(B/) = 0.8
Probability of parcel arriving the next day given it was sent through express delivery, P(B/) = 0.95
Now, Probability that the parcel was shipped expressed and arrived the next day = P() * P(B/) = 0.25 * 0.95 = 0.2375 .
He paid $643.5 for it originally
585 x .1 = 58.5
585+58.5= 643.5
hope this helps
Answer:
Diameter = 49
radius = 49/2
circumference of circle is = <em>2</em><em>π</em><em> </em><em>r</em>
<em>=</em><em>. </em><em> </em><em>2</em><em>*</em><em>2</em><em>2</em><em>/</em><em>7</em><em>*</em><em>4</em><em>9</em><em>/</em><em>2</em>
<em>=</em><em> </em><em>1</em><em>5</em><em>4</em><em> </em><em>cm</em>
<em>hope</em><em> it</em><em> helps</em>
11) -x + y = -1 ; 2x - y = 0
y = -1 + x ; 2x - (-1+x) = 0 ⇒ 2x + 1 - x = 0 ⇒x = -1
y = -1 + (-1) ⇒ y = -2
12) -2x + y = -20 ; 2x + y = 48
y = -20 + 2x ; 2x + (-20 + 2x) = 48 ⇒ 2x -20 + 2x = 48 ⇒ 4x = 48 + 20
4x = 68 ⇒ x = 68/4 ⇒ x = 17
y = -20 + 2(17) ⇒ y = -20 + 34 ⇒ y = 14
13) 3x -y = -2 ; -2x + y = 3
y = 3 + 2x ; 3x - (3 + 2x) = -2 ⇒ 3x - 3 - 2x = -2 ⇒ x = -2 + 3 ⇒ x = 1
y = 3 + 2(1) ⇒ y = 3 + 2 ⇒ y = 5
14) x - y = 4 ; x - 2y = 10
x = 4 + y ; (4 + y) - 2y = 10 ⇒ 4 + y - 2y = 10 ⇒ 4 - y = 10
⇒ -y = 10 - 4 ⇒ -y = 6 ⇒ y = -6
x = 4 + (-6) ⇒ x = 4 - 6 ⇒ x = -2
15) x + 2y = 5 ; 3x + 2y = 17
x = 5 - 2y ; 3(5-2y) + 2y = 17 ⇒ 15 - 6y + 2y = 17 ⇒ -4y = 17 - 15
⇒ -4y = 2 ⇒ y = -2/4 ⇒ y = -1/2
x = 5 - 2(-1/2) ⇒ x = 5 + 2/2 ⇒ x = 5 + 1 ⇒ x = 6
X = 46
because "the c shape" has angles that add up to 180
180-134 = 46
